Properties of the Number 12915

Twelve Thousand Nine Hundred Fifteen

Basics

Value: 12914 → 12915 → 12916

Parity: odd

Prime: No

Previous Prime: 12911

Next Prime: 12917

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 7 × 41

Divisors: 1, 3, 5, 7, 9, 15, 21, 35, 41, 45

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001001110011

Octal: 31163

Duodecimal: 7583

Hexadecimal: 3273

Square: 166797225

Square Root: 113.64418154925487

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Odd abundant numbers (odd numbers m whose sum of divisors exceeds 2m). A5231

Odd primitive abundant numbers. A6038

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where the e.g.f. of column k is 1+g^k+1(x) with g = x-> exp(x)-1. A144150

Number of 4-level labeled rooted trees with n leaves. A307

Numbers k such that 19^k - 2 is a prime. A128460

Numbers n for which nontrivial positive magic squares of exactly 10 different orders with magic sum n exist. For a definition of nontrivial positive magic squares, see A125005. A125017

Numbers k such that 3·k! + 1 is prime. A76679

T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every consecutive three elements in every row, column and nw-se diagonal having exactly two distinct values, and new values 0 upwards introduced in row major order. A252952

Sum of the squarefree parts of the partitions of n into 7 parts. A309482

Irregular triangle of odd primitive abundant numbers (A006038) in which row n has numbers with n distinct prime factors. A188439